Please solve giving step-by-step detail: lim x-> pi/2 (tanx(^cosx))

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Please solve giving step-by-step detail: lim x-> pi/2 (tanx(^cosx))

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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|dw:1353247002489:dw|IS your question?
yes!
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Other answers:

And anything to the power 0 is 1
Does it help?
anything except infinity as tan(pi/2) = infinity.. infinity ^ zero is undefined.
take log first
cosx log tanx=(log tanx)/(1/cosx) = infinity /infinity use L'hospital rule
how'd you get 1/cos x?
they equal each other
if you flip over RHS you can get LHS
and answer is e
ok thanks i get it now :)
answer is 1 I made a mistake..
yeah i just wasnt able to get infinity/infinity. can solve the rest. ty
np..

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